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Finding the Fourth Proportional to 1,019.52, 1,406.93 and 553.77

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Solution

The fourth proportional to 1,019.52, 1,406.93 and 553.77 is: 764.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.52 : 1,406.93 = 553.77 : x
  2. Step 2: Convert to fraction form
    1,019.52/1,406.93 = 553.77/x
  3. Step 3: Cross multiply
    1,019.52x = 1,406.93 × 553.77
  4. Step 4: Simplify right side
    1,019.52x = 779,115.63
  5. Step 5: Solve for x
    x = 779,115.63/1,019.52
  6. Step 6: Final answer
    x = 764.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.